Applications to cryptography of twisting commutative algebraic groups
type: Item
instance of: scholarly article
title: Applications to cryptography of twisting commutative algebraic groups
zbMATH Open document ID: 1158.14024
published in: Discrete Applied Mathematics
publication date: 2009-03-04T00:00:00Z
review text: This is a clearly written survey paper on twisted commutative algebraic groups and applications to discrete log-based crytography. The author puts discrete log based cryptography in the context of tensor products of commutative algebraic groups and Galois modules (i.e., twisted commutative algebraic groups). A number of examples are given (for example, quadratic twists of elliptic curves) to illustrate the definitions and results in an explicit way.
Mathematics Subject Classification ID: 14G50
Mathematics Subject Classification ID: 14L30
Mathematics Subject Classification ID: 94A60
zbMATH DE Number: 5523176
zbMATH Keywords: discrete log-based cryptography
zbMATH Keywords: commutative algebraic groups
zbMATH Keywords: restriction of scalars
zbMATH Keywords: torus-based cryptography
author: Alice Silverberg
reviewed by: David Joyner
MaRDI profile type: Publication
full work available at URL: j.dam.2008.01.024
OpenAlex ID: W1988767274
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DOI: 10.1016/J.DAM.2008.01.024
description: scientific article; zbMATH DE number 5523176